A cone with height 12 cm and base radius 5 cm is filled with water. The water flows out through a small hole at the bottom at a rate proportional to the square root of the water height. If the outflow rate is \( k\sqrt{h} \), where \( k = 0.2 \, \text{cm}^{1.5}/\text{min} \), what is the height of water after 10 minutes?

Sun, 03 May 2026 00:42:47 +0000

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